PLEASE I need help on these 4 problems you don’t have to do them all but if you can at least do one of them TYSM

For right angle triangle,

we use Pythagoras theorem that is:

c =

For question 1:

c = ?

a = 40

b = 9

putting them in formula,

c =

c = 41

For question 2:

c = ?

a = 12

b = 13

putting them in formula,

c =

c = approximately 17.69181

For question 3:

c = 35

a = 20

b = ?

putting them in formula,

1225 = 400 +

= 1225 - 400

= 825

b = 5

For question 4:

c = 37

a = 20

b = ?

putting them in formula,

1369 = 400 +

= 1369 - 400

= 969

Taking square root on both sides

b = 31.12

Hope it helps.

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

the correct answers i think are b. and d.

give me brainliest if it is correct!